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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1},{b1,b2},z] > Specific values > For rational parameters with larger denominators and fixed z > For fixed z and a1=-17/4, b1`>=-11/2 > For fixed z and a1=-17/4, b1`=7/2





http://functions.wolfram.com/07.22.03.a7t0.01









  


  










Input Form





HypergeometricPFQ[{-(17/4)}, {7/2, -(13/4)}, z] == (1/(102045303360 z^(5/2))) ((-45176306175 + 45176306175 E^(4 Sqrt[z]) - 90352612350 Sqrt[z] - 90352612350 E^(4 Sqrt[z]) Sqrt[z] - 54997242300 z + 54997242300 E^(4 Sqrt[z]) z + 10475665200 z^(3/2) + 10475665200 E^(4 Sqrt[z]) z^(3/2) - 2205403200 z^2 + 2205403200 E^(4 Sqrt[z]) z^2 + 518918400 z^(5/2) + 518918400 E^(4 Sqrt[z]) z^(5/2) - 138378240 z^3 + 138378240 E^(4 Sqrt[z]) z^3 + 42577920 z^(7/2) + 42577920 E^(4 Sqrt[z]) z^(7/2) - 15482880 z^4 + 15482880 E^(4 Sqrt[z]) z^4 + 6881280 z^(9/2) + 6881280 E^(4 Sqrt[z]) z^(9/2) - 3932160 z^5 + 3932160 E^(4 Sqrt[z]) z^5 + 3145728 z^(11/2) + 3145728 E^(4 Sqrt[z]) z^(11/2) - 4194304 z^6 + 4194304 E^(4 Sqrt[z]) z^6 + 16777216 z^(13/2) + 16777216 E^(4 Sqrt[z]) z^(13/2) + 16777216 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(27/4) Erf[Sqrt[2] z^(1/4)] - 16777216 E^(2 Sqrt[z]) Sqrt[2 Pi] z^(27/4) Erfi[Sqrt[2] z^(1/4)])/E^(2 Sqrt[z]))










Standard Form





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MathML Form







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Date Added to functions.wolfram.com (modification date)





2007-05-02